{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Triangle areas for mesh spheres\n",
      "\n",
      "This notebook calculates the area histograms for the trianguled spheres."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import pyradi.ryfiles as ryfiles\n",
      "import pyradi.ryplot as ryplot\n",
      "import vlfd.transformations as tr\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "filelist = ryfiles.listFiles('.','trianglessphere*.*')\n",
      "p=ryplot.Plotter(1,2,3,'Triangle area histograms',(18,12))\n",
      "for subplot,filename in enumerate( filelist):\n",
      "    vtxfilename = filename.replace('triangles','vertex')\n",
      "    tri=np.loadtxt(filename,dtype='i4')\n",
      "    vtx = np.loadtxt(vtxfilename)\n",
      "    areaLst = []\n",
      "    angleLst = []\n",
      "    areaTot = 0\n",
      "    for triangle in tri:\n",
      "        length = []\n",
      "        peri = 0\n",
      "        for i in range(0,3):\n",
      "            vtxa = vtx[triangle[i]]\n",
      "            vtxb = vtx[triangle[(i+1)%3]]\n",
      "            angle = tr.angle_between_vectors(vtxa,vtxb,axis=0)\n",
      "            length.append(angle)\n",
      "            angleLst.append(angle)\n",
      "            peri += angle\n",
      "            \n",
      "        # from heron's theorem the planar (not spherical) area between three points \n",
      "        # is given by Area=SQRT(s(s-a)(s-b)(s-c)), where s=(a+b+c)/2 or perimeter/2.\n",
      "        s = peri/2\n",
      "        area = np.sqrt(s * (s-length[0])  * (s-length[1])  * (s-length[2]) )\n",
      "        areaLst.append(area )\n",
      "        areaTot += area\n",
      "     \n",
      "    areaA = np.asarray(areaLst)\n",
      "    hist,bins= np.histogram(areaA, bins=100)\n",
      "    binc = bins[:-1]+np.diff(bins)\n",
      "    agvArea = np.mean(areaA)\n",
      "    agvAngle = 180 * np.mean(angleLst) / np.pi\n",
      "    binc = binc / agvArea\n",
      "    \n",
      "    print('{0:10s} avg area={2:.2e} tot area error={1:.4f}% Resolution={3:.3f}'.format(vtxfilename,\n",
      "         100*(4-(areaTot/np.pi)),agvArea,agvAngle))\n",
      "        \n",
      "    if(subplot > 1 and subplot < 8):\n",
      "        ptitle = '{0} (TriArea={1:.4e})'.format(filename,agvArea)\n",
      "        p.plot(subplot-1,binc,hist,xlabel='Normalised area',ylabel='Count',ptitle=ptitle)\n",
      "     \n",
      "p.saveFig('triangleareas.eps')\n",
      "        \n",
      "                    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "vertexsphere_0_12.txt avg area=5.31e-01 tot area error=62.0965% Resolution=63.435\n",
        "vertexsphere_1_42.txt avg area=1.50e-01 tot area error=17.6954% Resolution=33.859\n",
        "vertexsphere_2_162.txt avg area=3.88e-02 tot area error=4.5677% Resolution=17.216"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "vertexsphere_3_642.txt avg area=9.79e-03 tot area error=1.1510% Resolution=8.644"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "vertexsphere_4_2562.txt avg area=2.45e-03 tot area error=0.2883% Resolution=4.327"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "vertexsphere_5_10242.txt avg area=6.13e-04 tot area error=0.0721% Resolution=2.164"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "vertexsphere_6_40962.txt avg area=1.53e-04 tot area error=0.0180% Resolution=1.082"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "vertexsphere_7_163842.txt avg area=3.83e-05 tot area error=0.0045% Resolution=0.541"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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gil/mE2QqBsAS3qnYSdsSbFv9F/Ckv/wUKrsyPhHbllE9RtdKjaOwD3dUL5F9BSqwB/Al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73peQkRYt+VrlbUSKdhxgzYts1bqTFrlp59ZGoKaJCnBhQvQN0FEPHUiAzj81KqPqWGu50NDMDO\nnbqd15tb1LS5p4YUNVyIUkMQRKkhRY3GEtXwE7dqIipqHX4inhrtRZRFjSS0Hff7TULOQkjsokC1\n4Sf2vhs3entqdHRos6oo73AHUWrYOXkpNUz1RRCiZWJCF9kqtd9KBQB3O0ulIjELjQVRarQn4qkR\nHxI/+fHb3VNDjEIbS5xGoeKpEQ7JKzx2blEUNRLnqZEuXigGzXlkZIRla5fx+PrH40xPiIKgSg17\n302bvJUazu00yFPDjrlxY/mFqXhqRIbxeVVTaUA4pQbUXRRriqfGk09qf5lqeSkFS5bEk1/MSFHD\nhSg1BEGUGqLUaCzOqVhDTek65TGla5VpM2vB6R1QLSen/0Z/up+xSbN9EYToGJscK7nId+I13bDX\n65PUdtxeM2F8QK7865Xc8fQdcaUmREXQKV2d+05Olv+AcG6PgkIB1q+H3XYLlpP7wrS3V7+fzZuj\nyUcwl2p+GhBOqQEwZw6sWRNNflFSSalx1llwww3VjzE6CkcdVfQSSRBS1HAhnhr1I/GTH188NerP\nRQiO21PDzyi0qZ4aFS5Wyzw1nHfbc+KpEQWm5gURemrkop3StZGeGhDcBySTyTC6aZSDZh8UZ3pC\nFASd0tXed906/aPZa1/H3e262+aaNbDLLrV7aqRScNBB+gLOhal9jeQVjum8olBquF/v03ZC5xY1\nlZQaK1fqv2p5rVyp1VZLl8aTY4xIUcOFKDUEQZQaUtRoLHFO6RoFQS9Wc/kcU4Wp6RlZxGOgvYjS\nU6Ovu4/tue0opSLPMyrq8dQY3TjKQUNS1DCesMNPXnqp3E/DfawoGB3VF5bV8PPUADj44LouTIWE\nEIVSIyltx0+pMTYGa9cGy9ne5/7748kxRtq2qJFOexvX5vPeSo0wRY24x5dls+VFDed7afb4Nomf\n/PjuNgbl7Syu2PUQRfytW8VTo9EE9dRwT4uZzWfp6ao8pWsjPTW257bTn+4nlUoBle9cN/u74ofk\nFR6np0ZQRY8Xztd3dnTS09nDxNRE3XnFRa2eGke99SjWjq9lv8H94kxPiAK7KBDUKHTtWm8/DXt7\nVJ4aK1fqC8tq+HlqgC6KeNy5NrWvkbzCEamnRsC2Ezq3qPFTaoyO6u9vlZxHRkb0Pm98oxQ1kkSl\n4SdeSo0ww0/iJpcr/Z+RTrfHHXShcbjbGLRPO9uyRZQajcY5a0ndSo1C9EqNSl4JzkLL2ORYydSv\nSfBFEKKjkvdKkJl53B4VAz0DRrcf9/sdSAfL9+nNT7PvrH3p6qhykSw0H9uTIohSY2hIKzX8ihpR\nemoEVWr4eWqAuXfbhWhpF6WGUqXFO2ehZnQU3vY2/VhN/Tc6CmecIUWNJBHn8BPx1JD4SY8vnhr1\n5yIEJypPDbeSA6Lz1Aii1Agjx2/2d8UPySs8kXlqRDxFaqM9NYLme8PNN4ifRlLo69M/gMfHgyk1\n1qyprNSIylNj5crgw0+8PDXA9267qX2N5BWOmjw1vC74vV5/wAHw/PM13+mL5ZxNTurvqP3j3R4G\nls3qdn7UUXr7yy9XzmvlSnjPe/SP4bVro88zRqSo4SIKo9C4EU8NIW7a1VPDLnTvskuzM2kvjPfU\nyEVf1BBaD9OKGnFTa76rt60WP42kkErpwsD69cE8NdaubZynRpjhJ5WUGgb71ggREESp0d2tL/h3\n7gz2+nQa9tkHnnkmujzrxSvP/n693lY2VTM4nZzURY/hYXjzmxOn1pCihosolBpxjy+rVtRo9vg2\niZ/8+LUWNZL+3sfHYcaM6jekhGhxFzX8PDWc+ymlyOazdHd0e263iaJNuocF+OVUJsfvGfCd4rLZ\n3xU/JK/w2Lm5hx85CVLUGMt6DF8KOEVqpbziotZ81bCSokaSGBrSnhpBjUIrDT+JwlNjakpfTL7q\nVdX3tYefeCk1hoY871yb2tdIXuEI5akB/r4afq+vw1cjlnPmlefAgF5ve9AcfHDFnEf22gv2319/\n148+WooaSSGpSg2ldH/uvODs6tJFFyk2C1HRrkqNLVvEJLQZpDvTTE7pOdHzhXxFpcZkXu83VZii\nI9VRUgBxHidKnNO0luXUUcypVuNEoTWopuip1DYLqsD27Hb6uvum1wWdIrVZlE3pGnAaWpnONWHM\nnq0fq1X7h4b0BVSA4Sd18fzzsMceMHNm9X2HhmDzZti2zftufZ1TcwoJIIhSA/x9Nfxeb5qvRhRK\nDadXzVFHSVEjKSTVU8Mullvm+oB+3tVVfD/NHt8m8ZMfv109NcRPoznUMvzEPfTEvd2mmZ4aPZ09\n5At5zzv0zf6u+CF5hScKT42J3AQzumaUFOla1VNj+eLlHDh0YJypCVFiFzWCKDUgfk+NoCahoH+4\n9PXBiy963233uHNtal8jeYUjlKcGNFSpEcs581NqPPecvojdffeqhZjMLbcUh3UdeST89a/6wjMh\nSFHDhelKDa+LTWiPu+hC42hXpYYUNZpDLUahQYsaUVBrUSOVStGf7md7dnvkOQnmUU9Rw+u1pit9\nailqTOQm2LJzC/vO2jfu9ISoCKrUGBzUd9kqeWpYw0/qIuh0rs64W7aIUqNdaXelxsMP63aeSlUv\nxKxeXSwYDg7CK18Jjz4aX84RI0UNF6Z7agQpajR7fJvET378dvXUkKJGcwg6patzv2w+S09X6Y/n\n2Dw1siGmdHXt5+er0ezvih+SV3hKPDX82kmVKV3d/hQQfIrUannFhfv9DqT9PWRsntr8FAe8/gCZ\nzjVJDA3px2pKjY4O2HVXf6XGzJn6DuHERH1tM4xSA4r5B1RqmNrXSF7hEE8NdJHj4YeLRcCDDoJV\nq3zv1I+Mj5cWDI86ChYtij7XmJCihgtRagiCKDWExlKm1PAxCu3q6GKqMEVBFTyVGtUuHGulVqUG\nmH+3XYgOUWpUz3fVplXip5E0gg4/sff1K2rYM6nU66sRdDpXZ06dndoF3I0oNVqfuJQa++2nTWYn\nJurPMQqqKTVAb581Sw/H8sL93TrxxEQZNia1qHEi8AQwCpxXywGS6qkRpKjR7PFtEj/58dvVU0OM\nQuumpr45qKdGKpUi3Zkml88lwlMD/C/0mv1d8UPyCk8UnhpxFDVM9NQY3TjKjBc8Li6FuKn9d3PQ\n4Sf2vn5FDXv7xo31e2qEHX7S319qRmfjcefa1L5G8gpH7J4anZ16ppCnnqo9tyjxU2o8/3zp98Vv\n2My2bWS2bIG99iqu+9CH4Oyzo881JpJY1OgEvo/uoA8FPgy8JuxB4lRqLF26NGw6gQlS1IgzfhAk\nfvLj11rUSPp7F6VGXdTcN6c702QLllKj4O+pMb1vPhu4qFFvm5gqTJHL55jR5X0hVmtRo9nfFT8k\nr/DYuVUtahQaW9SI85wppWoramwaRa1Nzp2/FqG+381hlRp+nhr29k2bam+b2awe97///sFfM3u2\n/516jzvXpvY1klc4pvOKS6kBVadIrZpblPgpNaBUfeE3bGZ0lKVDQ+UXwQkiiZkfCawCngVywC+A\nU8IeJE6lxpYtW8KmE5ggRY044wdB4ic/fq1FjaS/dylq1EXNfbNzustKSo3pffOTTOYnPYsa9vSq\nNvW2CfvCLeV1l8+VexhfhGZ/V/yQvMJj5+b1+dtUm9I1jB9L2LziYOfUTro6uujuLP6jGOip7gEy\nummUmVMBpuIUoqS+381BPTXsfSspNYaGYOPG2tvm00/Dvvt6/xCuFLPSnXrXnWtT+xrJKxzTecWl\n1ICahy/Fcs78lBpQWtTwU2qMjrIl4VLlJBY19gZecCyvttaFolJRw0upEaaoESfiqSE0AvHUEGqg\n5r45qKeGc99GzX5S6e67O2YSfRGEaJgqTJHNZ5nZ5X3B3mqeGrXmO7pxlNm9s+NMTSinvt/Ns2fr\noRtB7uAGHH5SM2H9NOyYle7U12H4KCSAepQahQLs2KGnBfaiRqVGLPgpNXbfvXRctV97X7myqMpK\nKEm0n45Et2hfoC1aVDrM7qWX4LWvLd23s1Nf7Nx/f7BjP/jgs4H3DctTT3kXNdJpPZ3w1q3xxg+C\nxE9+/DVryttZOg3r11f+HiT9vT/9NLzlLdHl02bU3DenO9Os276O+1ffz/rt66sqNRavXszL21/2\nLGpM5Ca4f3WxETz42IMly2F5bstzVYsaq8dWc//q+1kztsbzQm/5y8vLcqg3r7iQvMLz4GMP8udn\n/0xfd19FRY/dxr14bP1jnm1n9bbVNb/vOM/ZS2MvleU7s2smk/lJ7nvhPs/vcC6fY8OODWx6KYJp\nPYUw1Pe72TbaDLpvJePE2bNh2TKefe654D+qnSxcWFtRo5pS4957Ye5cAJ598MHacosZySsc03mN\njQVXaixbVvpeJiagt9e/oHfwwXDllaHffyzn7JlnptvwNAMD5d+Xgw+Gxx4rj//AAzxryqwYNeL9\n39dsjgLmo8cGAlwAFICvO/ZZBbyqsWkJgiDwFHBgs5NoEkH65qXA6xqbliAIAsuAuVX3ak2kbxYE\nwVTauW+mC33hMAyk0R1xaKNQQRAEIVKkbxYEQTAP6ZsFQRAM5STgSbQi44Im5yIIgiBopG8WBEEw\nD+mbBUEQBEEQBEEQBEEQBEEQhPo5EXgCGAXO89i+K3ADeozOYuBvrPUzrOWlwArg4gbHBxgEfg08\nbuVwVANjnwssBx61ntfC1cA66zh+fNfKbxnwemvdK4GFwGNW/M82OD7oqcweAZYADzQ49gXo974c\n+BlQYRL3muO/GlgE7AQ+F/K1cccH6ESf+z80OP4hVlz7byu1tb9q8U9Hf+6PAH8BDndsq/a9FWqj\nmX1xJerpK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zdnUPxX41AbVsGbgVUlj8SG0OT6kKSx49RfT6ZSdWDksd6JJYsU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\nJtUrMhqxE41CRUSkPKyokRmpAWniTFsREam0Wp1fGGtu4B3r1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EyNq1maVWq8oMF9z2YR\nSDeoKFXjRQei1BAEwUjatQc/yVxNuA0cRkupfx34tP8T5ga03PoG4HLgx8B16G8m7wHuALYA3wPe\nAvyglaCiSY2FGIUKgiC0iYXuy+eB1wMz6M/jG4DXAj+PTmp8EvhD4AP+Tyv77x3Aaf+8dwKfAN7V\n/J84h3hqCIJgMs3WsHgJ4wrq8gIm0FTd9su2bOHrN9zAyy6Yay/+os2b+e6NN3L98HA74xMEoQ9p\no6dGJ/bgNwN/Avw0WqkxCXwqcs4H/Vg+4R//wD/3AHAf8BJ//F3AGuC3ovHOtzcrpbjfvp/bvduD\n+eTcQ+d45vee4ZZNt6T9mwRBENq1N2e5Lw8D96OVHt8Gbkf7dDwf3U3lxbS2//4A+DBaEZIDjgLP\ni4t5vr355MnvcPz4f+dlL/tOdWzv3t8nn38eV131B83/pYIgCD5Z7s3Nlp/YkZ/LgL8HfjWLILqF\neGoIgtAjdGIPfhfwNf+2An4b2Al8kTn582XospSAQ+hvDKPjh/3x1ChXt3O1LPHUEATBaLLYl210\n+clxYBR4HLiEOePR4/4xtLb/Xg4859+uoEsMV6aIr0qcUgNEqSEIghk0m9SIcgz4XeBjGcbScVyo\n89TIWRYV8dRoO6bGBebGJnGlw9S4MiLrPXgA+HfAN/3je4BrgNXob/aiio22UVd6gnhqdBKJKz2m\nxiZxdZxW9mUPvc9eAbwOXY4SRmGI8WiW5ScmrwFTY5O40mFqXGBubKbG1SzNemrEcT1aLtezxCo1\naM0oVBAEocNkuQe/FdgGnPSPT4Tu+wLwXf/2YeDK0H1XoL8hPMyc+38wfjjuhdauXcuqVasAGBkZ\nYfXq1axZswbQ/6G6sy55J189Brhl5BaUq6rH4fPnO96xY0eq8xf7scxX+uMAU+IJjnfs2GFUPJ2c\nr7GxMdatWwdQ3W86RKv78jngX9GGn0HZyTHgUub24zT776HQY64CjqA/8y8HxuMCmG9vHh/fxUte\nkqseA1x9tTYK7Ze1afKx7M39M1+mrv+Adr7eWBv35mZrWNZHjoeBlwJ/hplqjaY8Na566CE23Hwz\nVw0OVsdu2bqVv3vRi3jlsmXtjE8QhD6kjZ4a7d6Dvw58H/iyf3wpWqEB8HvAq4D3oA3qvgq8mjmj\numvR3yRuBn4HbVT3r8BfUW8UOu/eXDlX4aGrHuKnz/10dWxq1xS737WbVz/+6hb/PEEQFjNt2psX\nui9fhC4JOQsMAf8b+Ajws2hzz0+gDUJHmDMKTbv/3gncCLwPXWL4DuKNQufdm48evZdz5zbw4hff\nWx3bv/8jKOVyzTV/1sSfKwiCUEuWe3OzSo0vRo6n0bXWT2URRLdI9NToUjyCIAgJtHMPXgK8CfiN\n0Ngn0JJoBewDftMf3w18w/9dQX9gDj4J3wmsQ384/x5ZdT4BrFzr5SeCIAhtYqH78qXoRLLt//wD\n8BN0G+1voDuX7Ad+yT+/lf33i/7zPo1OlLTU+QQaeWqUWn1KQRCEzLCbPG9d5Oeb9HhCA3RSI+qp\n0apRaFS6YwoSV3pMjU3iSoepcbXIOtq3B0+jvzGcDI39KnAT8HL0N3vHQ/d9DP3t4IvR3ywGbEN/\nI3gt+hvDlkjy1Gg122zqOpC40mFqXGBubBJX21nHwvblXcAr0Ankm4C/9MfH0YnmF6G7Up0NPSbt\n/ltEJ0WuA25DJ0laIt5TI4dSldTPZfIaMDU2iSsdpsYF5sZmalzN0mxSYwAtp9uH3iD3+ccDbYqr\nI7hK1fXcEk8NQRAMpC/34DiyNgoVBEFoE4tmX4YgqVH7qblVo1BBEISsabaG5TPoGr6PAAfRpkN/\nCmxFOz2bRlOeGsvXr+fAbbcxks9Xx27fvp2PrFrFmhUr2hmfIAh9SBs9NXptD05i3r35/IHzbH/d\ndn7qwE9Vx2b3z7Lj9h01Y4IgCM3Spr25X/ZlaGJvfu65z1AsHuTaaz8TGvs0xeJzNWOCIAjN0g1P\njV9Cy5BP+cdPAI8Aj9J7G3cVVzw1BEHoDfpyD45DlBqCIPQIi2ZfhmxbugqCIGRNs+UnfYl4anQP\nU+MCc2OTuNJhalxCY8RTo7tIXOkxNTaJS8iSZKPQ9JuzyWvA1NgkrnSYGheYG5upcTVLs0mNbwL/\nE3gL8BLgrcC/+OPG4inFV44dS7zfhXqlBuKpIQiCcfTkHtwKotQQBKFHWDT7MjQyChWlhiAI3afZ\nGpYC8CHgPcBlwBHga8BH0eZIpqGUUpwqlbhq0yZmXve62JOssTHc22/HDiU2/u2jj/K+yy7j5y66\nqFOxCoLQJ7TRU6PX9uAk5q3bnnp0ij3v3cOrHn1Vdax0qsSW67fw2tOvbXd8giD0IW3am/tlX4Ym\n9uZ9+z6MZdmsWvXh6tiRI59nYmIzL37xF9odnyAIfUiWe/N8So1/A3wCvTn/KbpV1LD/ewC4OcVr\n3YtuC7grMv7bwB7gMf+1Aj6I7qv9BLqlVcAt/nM8DXy20QvOeh5FzyNuo/b8MVs8NQRBMJcs9+Ce\nIFGpURGlhiAIRrDo9mVI9tRouTZQEAQhQ+ZLanwIeCDhvjH//mb5ElqiF+b1wM+j+3O/DPiv/vgN\nwDv9328BPsdcFuce4A50z+3rYp6zyozn4aG9M6LE+WmAeGp0ClPjAnNjk7jSYWpcKclyD+4JYpMa\nudbLT0xdBxJXOkyNC8yNTeJqG4tuX4ZsjUJNXgOmxiZxpcPUuMDc2EyNq1nmS2qsBn6QcN+PgVem\neK31wJnI2PuAjwNl//ik//vtaAlfGdgPPAPcClwKLAW2+Od9BXhH0gvOunqjLXpe3X1uUlID8dQQ\nBMEYstyDe4KsjUIFQRAyZtHty5CtUaggdIPjx7/OzMxT3Q5DaBPzJTWWoqV0ceT9+xfCdcDrgE3o\n7HbwH8FlwKHQeYeAy2PGD/vjscz4yYzzMUmNilI4MY9pVamxZs2a1I+Zj9PlMrdt27ag52hHXFlg\nalxgbmwSVzpMjSsl7d6Du8L5A+eZ2jUVe1/WRqGmrgOJKx2mxgXmxiZxtY2+3JcBzpy5D9edib0v\nS6WGyWvA1NgkrnTExXXy5DeYmNhSf3KH6aU56yXmS2o8Cfxswn0/g/bCWAg5YAVwG/D7wDcW+Hw1\nzDZIaiQqNQzy1DhRKvHM7Gy3wxAEoXu0ew/uCie/dZIj9xyJvS8uqYGDdD8RBMEU+nJfBnj22Q8w\nOflw7H3J3U8qnQhNEBaM55XwPLmu6lfmS2p8Gvg74BdC59r+8d8Bn1ng6x8CvuPffhjwgIvQCowr\nQ+dd4Z972L8dHj8c98Rr167lCx//OKxbxz1/9Vc1dUJjY2PcPzZWbec6NjZWvd+xLHY9+GDd+fMd\n33333anOb+Z4wnUpKbWg5wtuZxFPlsftmK+sju+++26j4om+h6bEE7CY52tsbIy1a9eydu1a7rrr\nLtpAu/fgruDOuHjF+mQzNCg/8Yg1fZ6P8HtnEhJXOkyNC+pjq0xUKB7rfvMLU+fM1LhS0Jf7MoDr\nzuB58Ws3S6NQk9eAqbFJXOmIi0spM5IavTRn/cb/B0yi/S2O+r+n/PG0rKK2+8lvAh/xb78IOOjf\nvgHYgZb3XQPsZc4odDPaX8MCvke8UahSSql/PH5cMTqqHpuaUlGOFYvq4g0b6sbX7tmjvnjkSN34\nfIyOjqZ+zHz86PRpVRgbW9BztCOuLDA1LqXMjU3iSkc34gLaISfIcg/uNkoppfZ+YK96/D2Px87h\nqX89pXa+dWfd+Kg1qryKl/o9kfWZDokrPdHYDv31IfXk+57sTjAhTJ2zPtmb+2lfBn9vfuiha9TJ\nk/8SO4d79tyhDh/+fM3YyZP/rB599N+lfj9MXZtKmRubxJWOuLi2b1+jDhz4i84HE6GX5qzdkOHe\nHHX8iePTwBeBnwIuBE4DDwHnUr7W14Db/ed4Dt0G617/ZxdQAn7VP3c3uhRlN1AB7mTuj74TWAcM\noZMaSWZN1fKTOKPQilJVpUaYVo1C21GHFCg1lFJBH9/UmFofZWpcYG5sElc6TI2rBbLag43BnXHx\nzicoNdyY8hPmfDUsJ91eaOo6kLjSYWpcUB+bd97Dne5+Iaupc2ZqXCnpu30ZAqXG+dj7sjQKNXkN\nmBqbxJWOuLg8r4Trdl+p0Utz1ks0k9QAvUknJg+a5N0J47+SMP4x/yfKNuDGZl5wxu9+ktpTw5Du\nJxOVCorkWAVBWDRksQcbgzfjJSc1KgmJC/HVEHoEr+ThzcSvb6Gv6Kt9GcDz0iU1WjUKFYRuoFTZ\niPIToT3M56nR07Sk1GjRKLQddUiTflKmtIAki6n1UabGBebGFo3rWLHIPYdjLWU6Sq/Ml2AO7mwD\npUacUShg5SxURTw12o3ElZ5obKqkcGe6f6Fn6pyZGpcAnjebOqkhnhqdQeJKR1xcphiF9tKc9RJ9\nndToeaVGkNSIiV8Qds/McO+xY90OQxBS4814qYxCYWFtXQWhk3hlUWoIvYfnlVGqktIoVLqfCL2D\nKDX6m75Oasyr1Ih5jFGeGhX9H8VClBqm1keZGheYG1s0rrJSTFa6/2GiV+ZLMIeGnhoNkhqtyOhM\nXQcSVzpMjQvqYzNFqWHqnJka12LH82b83+0vPzF5DZgam8SVjri4lBJPjUaYGlezLIqkRq8qNSZF\nqSE0oOR5TLnd/+As9DwjwLeAPWhz5luBlcCPgKeAH/rnBHwQeBp4AnhzaPwWtOnz08BnG73gvJ4a\notQQehjx1BCa5EpgFHgceAz4ncj9/xnw0PtxQNr9twD8o8dGgyMAACAASURBVD++Cbg6KRjXTZ/U\naNUoVBC6geeJUqOf6eukRlB+UoxJUvSCp0YWSg1T66NMjQvMjS0aV0kpI5IavTJfQiKfRXeSeglw\nE/rD8gfQSY0XAT/xj0G3236n//stwOeYa7d9D3AHcJ3/E9duG2hNqdGqUaip60DiSoepcUGMp0ZZ\n4c7K3pyEqXF1gTLwe8BLgduA/we9D4NOePwMcCB0fiv77x3ozizXAZ8BPpEUTCeVGiavAVNjk7jS\nEReXUuKp0QhT42qWvk5qzHoeecuKV2qA8UoN8dQQGlHyPCZdF2XIehV6kuXAT6Nba4NuoX0O+Hng\ny/7Yl4F3+Lffjm7PXQb2A8+glR2XAkuBLf55Xwk9pg5vVpQaQv+iSkqUGkIzHAN2+Len0Gq5y/zj\nTwN/EDm/lf03vJd/G3hjUjCtKDVaNQoVhG5gilGo0B76Oqkx43mszOXSdT/BHE+NLLqfmFofZWpc\nYG5s0bhKSuERX17VSXplvoRYrgFOAl8CHgE+DywBLgGO++cc949Bf+A+FHr8IeDymPHD/ngsrZaf\niKdG+5G40hONzSt54qnRAFPj6jKrgJuBzejkxSHg0cg5rey/lwPP+beDpHW4nKVKcLGXLqmRE0+N\nDiFxpSPeU6MsnhoNMDWuZunrpMas67Iin8/EU+NYscie6em2xJnERKWChSg1hHiCdWFCCYrQs+SA\nV6BlzK8AppkrNQlQ/k9muDMuqhj/lMpVxLk4i1JD6BVUWZQaQiouQPsavR/tofFHwIdD98fU42VP\nq0oN6X4i9AqmlJ8I7SHq+NNXzHoeI2mVGpZFOSap8e1Tp9g+OckXXvzi2NcaGxvLPMM14bqszOUW\n7KlhYubN1LjA3NiicQXrYtJ1eV6XYoLemS8hlkP+z8P+8bfQRnTHgOf7vy8FTvj3H0bXegdc4T/+\nsH87PH447gXXrl2LdcZCVRTb7t7G6tWrq+/T2NgYx588zi1Lbqkeg//tgQP3b7yfwYODNedX7084\n3rFjB7/7u7/b9PmdOg7XrpoQT3As85X+OBrjRaWLUGXFfT+5D9uxuxbf3XffXffvq5Ov3+x8tWu9\nrFu3DoBVq1ZhMHl0Wch/B/4ZuBGt2tjp338FsA1dZpJm/w2UG4eBq4Aj6M/8y4HxuEDe976PMjgI\nS5Y8zHXX1a+dJ58c54UvzFWPAV75yotQyu2btWnyXiN788LnC8p43vmux2fq+g/G2r1eemRvNgal\nlFK3bdum3rpzp/qjvXtVlJ+Mj6s127fXjX90/371wZjzP3XwoHrP44/XjQeMjo4m3tcql2zYoK7f\ntEmNjo+3/BztiCsLTI1LKXNji8b16YMHFaOjaufkZHcC8umV+eoEZKxo6BAPoA1BAe4CPun//KE/\n9gHgL/zbN6BrwAfQpSt7mfsWcTP6g7eFNh6NMwpVnuepUXtUjTKq3LJbN4f7P75fPfOHz9SNb7p+\nk5raPZX6PWnHOjjyxSNq74fq/59Ig/y7SYepcSlVH9uj/+5RNcqoKk+UuxOQj6lzJntzFQvtf/GZ\nBufsY65cpJX99060iSjAu4CvJ7yOOn78m2p0FLVr1y/EzuHWra9U585tqRmbmtqtNm26PvX7Yera\nVMrc2CSudETj8jxXjY6iNm68sjsBheiVOesEZLg397dSw3V5weBgrFLDVSpO4ZzoqVHyPGYalIEE\n2agsmXBdrh0aEk+NDmNqbNG4AkVRt8tPemW+hER+G/gf6A/Ke4FfQ2+F30A75+8Hfsk/d7c/vhtd\nn30nc/8h3QmsA4bQH6p/EPdiqqSwHAtr0NIlKJH/hbI2Cm3HOph9dpby8fKCnsPU9SlxpScam1fS\nnxW8GU/bN3YJU+fM1Li6wL8B3ov2ztjuj/0R8P3QOeFNr5X994vAP6Bbup5GJzZi8bwZcrmRjhiF\nmrwGTI1N4kpHNC6l9P/ZJpSf9Mqc9Rp9ndSY8TxWJnhqVFJ6apSUYraDF48Vz6PkeSzP5cRTQ4gl\nWBeT4qkhLIydwKtixt+UcP7H/J8o29DS6Ya4sy72sI3lWHjnPZwltenltEahSimsmL28nZRPlvGK\nsi8L8aiy/gxhglmoYDQbmN/b7gWR47T7b5G5pHRDPG+WXG5lR1q6CkKn8bwSgBFGoUJ7mG8z7Wlm\nPY8VuVyiUWiSp0bc9jyfUiNcj5QFk67L0lyOgm0v2FPDREyNC8yNLRpXyRClRq/Ml2AG3oyHM+Rg\nD9qxHVDSKjV2vW0Xk49MJr5eO9ZB+dTCkxqmrk+JKz3R2FRJr9Num4WaOmemxrXYcd0Z8vm0SY1c\nrFFopXKOHTten/ha7VoDhw//LcVirJ1T05i6PiWudNTty6qM4yzF82ZRC7iuyoJembNeo6+TGjOu\nq41CYxZvklIjZ1lUYs4vKsVsBxUTE67LMsdhwLJEqSHEIt1PhF7EndFKjbRJDRxikxrlU2XKJxdW\nCpKW8slyYktaQQjKT0SpIfQSuvxkRaqkBsQrNSqVs0xOPtKGKBtz9OjnmZ5+rOOvK5iP55Ww7SEs\ny66Wogj9RV8nNRoqNSBZqZHgqdGo/CTrOqSJSoWljsPAApUaptZHmRoXmBtbNK5q95NKd9up9cp8\nCWbgzXg4ww52wY5VO6RVanglr+HFYzvWQRZKDVPXp8SVnrra7bLCXmLjzXY38WXqnJka12LHddMn\nNZLKTzyviOfNJL5Wu9ZAuXwiMf5mMXV9SlzpiPPUsO0BbHuo674avTJnvUbfJjWUUpz3kxpJLV1j\nPTVIMApVqmH5SdZMuC7LcjlRagiJlDyPYdsWpYbQU7Sq1Ejy1PCKXsdl/uWTZW1yKggxeCWP3EhO\nlBpCT+F5uvxEqWLs/WmMQj2vhFIVPK9z34grpSiVTi44qSH0J0qVsCyd1BBfjf6kb5Ma5z2PActi\nyHHSe2rElZ94XsPyk8w9NSoVXX4inhodx9TY4jw1VubzXU9q9Mp8CWbgzfpKjYSkBq6fwIiQpNRQ\nJdXw4jHrdaBcRXl84eUnpq5PiSs9cZ4aueU58dRIwNS4Fjuum51RaJAYSVJrtGMNuO4kShUXnNQw\ndX1KXOmIxuV5JSwrb4RSo1fmrNfo26TGrOcx5DgM2nY6pUYjo9AOXjxO+EahotQQkih5HhfmctL9\nROgpvBkvU08Nr+h1VOZfPlMGD+l+IiQiSg2hFwmUGll4asx1mkguQcmaUumE/9qi1BDqCcpPHKf7\nSQ2hPfRtS9cZ12XYtilYVrJSI+ZxDVu6NkgutMNTIwulhqn1UabGBebGFuepYYJSo1fmSzADd8bF\nHrJBka78JGehKvFJjU56agSmpOKp0VlMjQviPTVMUGqYOmemxrXYac1TI777iecFSo34i8e2eB2V\nT/qvKZ4anaRX4gqUGpaV63pSo1fmrNfo26TGrOcxZNvplRokeGp4HmWlqHgeObv9ApdJ8dQQ5qGs\nFCtzua4nNQQhDYFRKF7KpEaD8pNOXjyWT5XJX5yX7idCItXyky4bhQpCGnT3k6zKTzqv1CiXT/iv\nKd/CC/UESg2wZY30KX1fflKw7Ww8NfyxJLVG1nVI1Zau4qnRcUyNrc5Tw/NYmc93vfykV+ZLMIOq\nUWgL3U+SjEI76alRPlmmcEVhwUoNU9enxJWeutptQ8pPTJ0zU+Na7GilxjKU8vC8evWFUq5vDDpH\nslFo5z01sio/MXV9SlzpqPM6UuKpMR+mxtUsnUxq3AscB3aFxv4S2APsBL4DLA/d90HgaeAJ4M2h\n8Vv853ga+GzSiwXlJ4O2XU1IhGnFUwOSkxpZU23pKkoNIYGSKDWEHmQ+o9A0Sg2lVFeUGoUrCtL9\nREhElRW5ke6XnwhCGjxvBsdZgm0XYjugpG3pCp1WapwEHPHUEGLxvDKWJZ4a/UwnkxpfAt4SGfsh\n8FLg5cBT6EQGwA3AO/3fbwE+BwSfcu8B7gCu83+izwnMlZ8kKjUgOamR4KkBJJqFZl2HVC0/EU+N\njmNqbHWeGr5So9tJjV6ZL8EMWm3pGmcUqsqq+pxJtMNTIwulhqnrU+JKT13tdsnDWe50Xalh6pyZ\nGtdix/Nmse1hbHuwmpQIE28UagMKpaIJ55L/nPFJjXasgVLpBIXC5eKp0WF6JS6lSti2GUqNXpmz\nXqOTSY31wJnI2I+A4JPhZuAK//bbga8BZWA/8AxwK3ApsBTY4p/3FeAdcS8243kMz9P9JLb8hGRP\nDeisUmOZKDWEBpSU4kIDyk8EIQ2Bp0YWSg2vpB/f0e4nvlJDPDWEOJSrwIXcMlFqCL2F687gOEFS\nozYxoJRey5ZVe9lgWRZxHVC6o9Q4QaFwpSg1hFiU0koN2x4ST40+xSRPjV8Hvuffvgw4FLrvEHB5\nzPhhf7yOWddtrNRoVH4S56nheVh01lNjaQZKDVPro0yNC8yNLdZTw4Dyk16ZL8EMgu4niUkNt3lP\njaAEpNHFY9broHSyROGyAqqsUJ7szZ3C1LigNjav7GENWNjDNu6s7M1xmBrXYsfzZrDtoYSkRpxK\nQ6NLUCqR8xsrNdqxBsrlkwwOXiWeGh2mV+LyvBK2PWCEUqNX5qzXMCWp8SGgBHw1qyecCcpPLIui\n59VJ4xKVGkmeGkqxzHESy0+yZjIwChWlhpCAKS1dBSENTSk1nHRKjU7K/MsndfcTa8Cqvr4gBKiy\nwh6wcYYdUWoIPYXrzoTKT9IlNaIZ5/laurYDXX4iSg0hnsAoVDw1+hcTWrquBd4GvDE0dhi4MnR8\nBVqhcZi5EpVg/HDck97zO79D6eKL+ehFF6FOneInnseb3vAGQGeinjl2jMtvvbV6DLqWyLEsTm7Z\nwtj4eLW2aGxsjHO7dzNy883Mel7N+eHHByTdn+b4yBNPsOy66xiwbZ7bvJmx48dber41a9ZkEk87\njgNMiSdcSzY2NmZMPEnHpeFhVuRyTG/bxn2VCm94/eu7Ek8w1u356Mbx2NgY69atA2DVqlUI8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TY9J1ucCZ+1S/EF8NU+ujTI0LzI0tHFc5pNRY2mWlRi/Ml2AOgVID6pMaSilwqaohaojx1AjK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\nEPoPzl69X1eKRYYaeGq4/OpNN/Ha3bt5cP/+Kq+M5w4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       "text": [
        "<matplotlib.figure.Figure at 0x739ecd0>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Evidently the total surface error is relatively small for spheres with large number of vertices, but the area distribution is slightly skew around the average value, towards smaller areas."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}